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Finding the Fourth Proportional to 16,189.93, 24,274.83 and 6,825.13

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Solution

The fourth proportional to 16,189.93, 24,274.83 and 6,825.13 is: 10,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.93 : 24,274.83 = 6,825.13 : x
  2. Step 2: Convert to fraction form
    16,189.93/24,274.83 = 6,825.13/x
  3. Step 3: Cross multiply
    16,189.93x = 24,274.83 × 6,825.13
  4. Step 4: Simplify right side
    16,189.93x = 165,678,870.48
  5. Step 5: Solve for x
    x = 165,678,870.48/16,189.93
  6. Step 6: Final answer
    x = 10,233.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.